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notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. The notion of polyconvexity was introduced
Polyconvex_function
British mathematician
married to Lady Sedhar Chozam-Ball, actress, and has three children. Polyconvex function John M. Ball at the Mathematics Genealogy Project "CV" (PDF). John
John_M._Ball
Mathematics of convex functions and sets
different structures. In the calculus of variations, rank-one convexity, polyconvexity, and quasiconvexity arise in vector-valued variational problems. In
Convex_analysis
Generalisation of convexity
convexity. For a function f : R m × d → R {\displaystyle f:\mathbb {R} ^{m\times d}\rightarrow \mathbb {R} } it holds that f convex ⇒ f polyconvex ⇒ f quasiconvex
Quasiconvexity (calculus of variations)
Quasiconvexity_(calculus_of_variations)
French mathematician
Non-linear elasticity: Philippe Ciarlet proposed a new energy function that is polyconvex (as defined by John Ball), and has proven to be very effective
Philippe_G._Ciarlet
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a great functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Male
Egyptian
, a high Egyptian functionary.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
Celtic
, great justiciary, or functionary.
Biblical
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Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
Boy/Male
Hindu, Indian, Tamil
Victories
Girl/Female
Arabic
Fragrant
Boy/Male
Muslim/Islamic
Slave of the Reckoner
Boy/Male
Arabic, Muslim
Shadow of Allah
Surname or Lastname
English
English : from a pet form of the personal name Dennis.
Girl/Female
English Latin
From Laurentium; the place of the laurel trees; place of honor and victory. Feminine of Lawrence.
Girl/Female
American, Australian, Chinese, French, Greek
Victory of the People; Feminine of Nicholas; People's Victory
Girl/Female
Hindu, Indian, Marathi
Courageous
Male
Russian
(СеваÑÑ‚ÑŒÑн) Russian form of Greek Sebastianos, SEVASTIAN means "from Sebaste," a town in Asia Minor.Â
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Garland of Love; Type of Plant
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
POLYCONVEX FUNCTION
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
a.
Pertaining to, or connected with, a function or duty; official.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
pl.
of Functionary
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
v. i.
Alt. of Functionate
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Destitute of function, or of an appropriate organ. Darwin.
v. t.
To assign to some function or office.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.